Your dog is probably a little car sick, you can get them out of it. Start by getting her to sit in the car with the engine off. Stay with her for a few minutes, give her a few treats and tell her she is good (but don't make a huge fuss or go over the top, let her know that being in the car is a very normal thing), do this a couple of times a day for 3 days). Next turn on the engine and put her in the car, repeat the treat giving and stuff, again for 3 days. Then get in the car with her (engine on) and take a short drive (like up and down your road, or around the block, less than 5 minutes is enough to start with), do this every day once or twice for a week. Slowly start to increase the distance you travel with her in the car and usually most dogs will overcome the car sickness.
Make sure you don't go for a drive with her for at least 2 hours after he eats (as the food can cause her to have more pronounced sickness).

As far as the mats and dandruff goes. If you think a Shampoo is causing skin problems (like the puppy shampoo causing dandruff) try just changing shampoo to a very natural and most importantly fragrance free shampoo before going for something medicated. The sulfur shampoo will dry out the coat and cause the coat to mat faster than it otherwise would (but more about mats later). It is best to try and avoid medicated washes as much as possible for minor problems (such as dandruff) as the skin can build an immunity to them meaning if a more serious problem comes along you need to use a more serious medicated wash.

As far as ticks go. Frontline spray won't be 100% effective unless you get it all over the body (making it quite tricky to use) a better option is to go for one of the spot-on products (Frontline-combo or Advantix). Alternatively you can choose to use Revolution (which prevents ticks, fleas, mites and heartworms).

On to mats. There are only 2 ways to stop mats: Brush your dog regularly or keep the coat very short. Although there are many things that can make mats appear faster (coat condition, coat length, activity level etc.), daily brushing will keep them away no matter what.
If you see/feel mats in your dogs coat, brush them out before bathing, bathing will only tighten the mats and make them harder to remove. If you leave them in longer, eventually they will be impossible to remove (not to mention painful for your dog) and need to be shaved/cut off.

Read the dog food thread - http://forum.lowyat.net/topic/1411212

Divas and many others have contributed a lot of information regarding dog food, thumbs up to them

Its not suggest to bath your furkid too frequent as it would deplete healthy oils from the coat and skin, once a week or two weeks is a good one for poodle since i assume you keep your furkid indoor  

There is no best food for poodle, the best food is the food which suit the most to your furkid. Pxxxgxxx is one of the lousiest in the market after you getting know how to differentiate good and bad dog food

haha, its ok, every one starting from null, we learn along the way. I also fed blackwxxd in the first few weeks when my furkid first with me, then i changed to Orijen and never look back, my furkid is doing well with the kibble and always crave for more after finish the meal

If i not mistaken, there is some post suggested that you can use dog fragrance instead of shampoo that keep your dog smell good for long time as the chemical ingrediences in the shampoo isn't good for your dog skin and coat.

Did you dog complete the 3 routine vaccination? Some may suggest not to bring them out to avoid being expose to those potential harms before completed the vaccination. Some may not, i personally bring my furkid out after her 2nd vaccination, of course i took some considerable risk, i was holding her when wandering around, put her in the car and drive around my living area and she also met with my another furkid at my mum's house. I believe in this early time is the best time for my furkid to get used to what will be surrounding her when she gradually grows up. Anway, this is your choice, you can do some research and see which suit you the most, there is no definite right or wrong, do what you comfortable with

My furkid also poo average 3-4 times a day, 1st when she woke up before her breakfast (i will only release the breakfast to her after she poo ), 2nd during late afternoon some time after her lunch and 3rd during late evening some time after her dinner. I think its normal since got input then of course got output
It make sense to say that the poo colour is decided on what your furkid has taken, i also don't know whether yellow is healthy or not, but solid instead of watery is what you want to see. My furkid has dark brown and solid, so far so good

you are welcome, i am also a new owner for my furkid for only 5 months, i am also learning in the process.

Sorry, i have no good recommendation for you but i have seen some people suggest to use Pet Esthé, etc. , choose those shampoo which is natural and organic, they are mostly free from added chemicals and will be more gentle for your furkid. Hehe, i have no experince on using fragrance though 

She is due for her 3rd injection since your last vaccination is on 12th Jan, its a once a month process for the first three injection and once a year subsequently. Your vet will also provide deworm to your furkid at the same time.

Don't let your furkid walk on the outside ground other than your house until she has finished all the vaccination to reduce the chance of being infected. Personally i hold my furkid during the walk.

If you free, you can read some books or find information from internet to learn more about your little companion, that will be enjoyable