can try mosi-guard, abit pricy but works great when i use at hiking

Only run on weekends, and yes - at the very beginning of the running journey - it's quite common for the legs to get a little sore, dormant muscles being activated afterall 
Your body will adapt as you progress, my 2 cents is to have sufficient rest in between runs

Treadmill absorbs your landing slightly better if compared to pure road running

If purely road running definitely advise for rest days in between

For treadmill training maybe some days u can set on a very steep incline and walk instead

I prefer Nike

The best is different for everyone

Have to try and find out the best shoes for your feet

usually the shoe mileage in between 500~700km then have to retired it before the cushion no longer in good sharp to protect our feet

Within a particular brand, e.g. Nike, some models (typically, the racers) have narrower toebox, therefore cramping the big toe to cause bunion in those susceptible.

Some brands, e.g. Altra & Hoka, exclusively cater to bunion sufferers by widening the toe box (attached image). However, these two brands are somewhat pricier than the more popular brands. 



If you want to keep your existing shoes, cutting away a "window" in the suede wraparound may solve your problem (image below). Once the fabric underneath is exposed, cutting vertical slits into the fabric will provide more wiggle space, if desired.

Bro, which model is this you bought?

did you get the proper running shoes?

testing in shop is just a while i guess vs wearing it for actual run which could be different story. my first pair was adidas and no issue too when i tried in store. problem surfaced after my first few runs. like biastee mentioned, wide foot plated running shoes could be more suitable if you have wide feet.

that's good. then maybe the shoes still too new for you. how many km do you usually run?
i gave my shoes to my cousin. nike fits me better and am thinking to get hoka next.

They are mine. My left foot has a bunion when running and none while walking.
This is a racing model & so, presumably has a narrow last / toebox. A slight bunion doesn't hurt while walking - hence, pain-free in the store.
This is relatively low mileage. So, if the bunion is problematic at 3km, it will be excruciating at 30km!

New Achievement Unlocked : Metabolism Booooost!
I run in the mornings and have breakfast (typical hawker / mamak fare) after the run - so i rarely get the kili-kulu tummy rumble 

But I do get it during the evenings before bed, after a quick round of HIIT - damn good for sleep 

i think it's normal to feel hungry after running. maybe have a banana before your run and settle for salad after.
i am hungry even before my evening run. sometimes i just go for heavy meal, at least i don't feel so guilty after running.

If the intent is to lose weight, then it is useful to examine the relationship between long-term weight gain and weekly mileage.

Tracking the weight change of 120,000 persons over 20 years, the following relationship was found:
"Women between the ages of 18 and 25 gained about two pounds annually if they ran less than 15 miles per week, 1.4 pounds annually if they ran 15 to 30 miles per week, and slightly more than three-quarters of a pound annually if they ran more than 30 miles per week."

Swimmers & kayakers will surely laugh at blaming mouth breathing bcos they have no such hang-ups and even use nose clips (images below).



Mouth breathing for 1/2 hour is unlikely to be harmful. Maybe, a whole day Ironman or ultramarathon can dry up the mouth to cause caries.

The advice from doctor who is unfamiliar with exercise science is likely coloured by superstition. A professor of exercise science summarized this bias:
"When I began my clinical medical training in the early 1970s, I was reliably informed by my teachers that exercise was dangerous for human health. Since I seemed to feel far better the more I exercised, I concluded that my teachers could not be trusted." [1]

You can reduce the risk of catching a viral illness by avoiding unventilated places like gyms (& restaurants) & not touching the face.

Have a rest and come back stronger!

Reference
[1] T. Noakes, Lore of Running, 4 ed., pp. 921.