Hi!
DISCLAIMER: I'm no expert, but I can tell you all the information I've gathered on doing better. I love running, so that's my strong suit and the area where I have more expertise. I run the 1 mile for my track team and I train for 3 miles for the Marine Corps PFT. I'm also no superstar runner, but two years ago I was barely running a 10:30 mile so I'd say my progress is pretty good.
This (click it!) video is the best video I could find on running technique. For me, just knowing what I should be doing helped me make the small adjustments. Another huge point in running is to build up your 'mileage' (per week), otherwise you can get shin splits, stress fractures, and other kinds of misery. So, if you don't run 7 miles every day, don't go out and try to run 7 miles every day. I am an expert on shin splints and stress fractures, lol... You want to avoid them like the plague.
Here is a specific link to military.com's recommendation for training for the two miles:
https://www.military.com/military-fitness/running/prepare-for-2-mile-army-run which is super similar to how I trained in cross country and track.
Make sure you warm up before, cool down after and then stretch VERY well when you finish.
In a week I typically try for 2-3 3-mile runs, 1-2 interval runs (1/4 mile hard, 1/8 mile light jog for 1.5-2 miles) with a light 2k stint on the rowing machine after, and I cross train with rowing 1-2 days (2-3k).
I live where the weather is horrible from January-March and so I train on treadmills. If that's your only option, too- put the incline on 1% to make it more similar to running on a track where you have wind resistance.
Not sure what pace to aim for? I love
this calculator (click it!). It can be a little off, but it always gives me a good ballpark. So to run a long 3 miles, it says 9:34 per mile based on your mile time. If you've never gone out and ran 3 miles try to go for a 9:45-10:00 minute pace!
Unlucky and find yourself with shin splints or post-sprain/strain? My cross country coach put me and a few other kids on the elliptical to 'run' with less of the impact of running. I don't include warm-ups because I do HIIT or intense calisthenics before I run, so I'm usually very warmed up
For push-ups, my friend in ROTC taught me about reset push-ups (
here's a video) that have really helped me out.
I also found that combining different core exercises (planks, situps, v-ups, ect) helped me with crunches and pull-ups and push-ups,, but I honestly have no evidence of that.
All I've ever been told on push-ups and sit-ups is do them every day...
I have to imagine you can also find plenty of workout guides online. When I got my NROTC scholarship there was a PDF workout program and my future unit sent me a different one. PM me and I can send you those, the test is pretty similar (I think).
Again, I'm just a high school senior who was horribly out of shape when I decided at the end of Freshman year that the military was the path I wanted to take, so this is just a collection of information I've been given/researched over the years. Some of it is from my Junior and Senior years on track/cross country, someof it is mistakes I made, some of it is google, some of it is from my gym teacher. BEST OF LUCK!
Feel free to ask for clarity on anything or correct me...