He answered you already.

And DONT do intensive cardio after weight training!!! You risk catabolism-bloody counter productive when you are trying to bulk. If you INSIST on doing cardio right after then keep it low-moderate intensity. It can assist a little with recovery..

Besides, why on earth do you want to run intensively (unless you are a runner?) when you are trying to bulk if you don't have to?

1) If you can do weight training after HIIT, you are doing HIIT wrong. You should feel like not doing ANYTHING after finishing your HIIT session. Thats why it is called HIGH INTENSITY - It is intense! Otherwise it is just Interval Training.

Do HIIT on days you are not lifting. On lifting days if you MUST do cardio, do LISS AFTER lifting. Finally, take one day off a week to not exercise because HIIT and lifting is going to stress your muscles and body and will require time to heal and recuperate - exercising intensely everyday for too long a period of time is counter productive and is a sure way to head to a break down.

2) Since your main goal is losing fat, all you need is a caloric deficit. It ultimately doesn't matter what you eat - Although it is important to note that what you eat will affect how you feel (eating a healthy diet will make you feel better than eating crap). To maintain muscle mass, ensure at least 0.8g of protein per lean pound of body mass.

So in short:
1) HIIT on days your NOT lifting. On lift days, do LISS after weight lifting.
2) Find out your TDEE, create a 20% deficit from that (don't make too large a deficit). Learn to count calories so you meet your caloric needs. Consume 0.8g protein/lb of LBM a day to maintain muscle.