For push-ups are you allowed to look up at an angle?
You are supposed to look at a spot in the floor about 2 ft in front of your hands.
My push-ups had dropped from being consistently in the low 60’s to 53. Do you have any suggestions on how to increase them and keep a higher rep count maintained?
Consistency, diet, and sleep are the keys to that. Make sure you are doing at least 25 push-ups multiple times throughout the day and make sure you are giving yourself the adequate nutrition and recovery time you need in order to be ready. The other thing is that sometimes we just have a bad day, dont let it get to you too much
For push ups, my preferred method of doing push ups is on my fists. Would this be acceptable during selection/PAST?
No, you will not be allowed to do pushups on your fists.
Are you allowing guys to rest during push ups with their butt up in the air or is it starting position only?
Practice without resting with your butt in the air. Know that the rules can change at any time, so be prepared.