The army shouldn't even have to implement these week one requirements to stay. If you're wanting to be a soldier, you're taking on the responsibility to be one of the fitter people in Canada, given the requirements of the job. I'm going Reserve, but if your going reg. F you should make sure that you can destroy the minimum standards prior to even arriving. Instead of puking on the sidelines, you'll be shooting hoops after certain days (just an expression. If your fit enough, even Basic won't destroy you.
Want to improve your grip strength? Either buy some hand grips and keep them by your bedside, work table, etc and hit them at every opportunity OR take up mountain biking. It really helps and you'll see your hands getting bigger, stronger and the requirement should be easy, even if your wrists are skinny!
Another option that helps is taking dumbells and instead of doing bicep curl, etc, simply use a curling motion with the weight in your hands. Increasing your abdominal strength will give you the option of squeezing your abs to get more power into your total wrist squeeze. Do exercises that will specifically hit the muscle groups involved areas your struggling to improve.
Increasing the power in your wrists will also help you become better at pushups! Having stronger abs helps EVERYTHING. Eat a balanced diet! Once you get into a routine prior to going to basic, you'll be doing everything they do at basic as your regular everyday training (not as lengthy in some cases obviously).
It all comes down to how easy you want to make in on yourself. You don't have to be the puker at basic, lol.
Plus, if your already in great shape when you go to basic, you won't have the stress of meeting the minimum requirements. You'll get to enjoy the experience
If you make training an integral part of your life (not just for basic) you'll find that by the end of basic you'll start to become even stronger, instead of just happy to get through it, as is the case with most I'm sure.
If your worried about making the minimum requirements or passing at the end of eight weeks; make sure you don't. Essentially, put yourself through Basic before you get there! Just another day in the life of ....
Lol, hopefully this hits home with at least a few. It's meant to be inspirational!