I would ask Hazel or your Educator. I would have thought when using Akzentz hard gels, overlays and extensions are included in the course.
I use Akzéntz Akzéntz Luxio Gel polish but if I wanted to use the hard gel, I'd have to do the course and would assume it covers overlays and extensions...
The best advice is to keep the nail
short, so that the nail reattaches to the nail bed. Apply your oil at least twice per day and also apply under the free edge. You can still apply polish or Gel. It'll be fine in a couple of weeks as it doesn't sound bad at all.
I would definitely recommend a class efile course. It's pretty scary the first and having someone there guiding you is best.
Hazel Dixon Nail Artist Academy has educators across UK and I also have trained with The Nail Team who do courses too, across the UK.
You'd be better trying what the college has and start by getting some wax to try. The college's are not known to use particularly great stuff and will probably cause you more hassle than going for a good brand which is hypo allergic.
I've used Australian Body Care, Susan Molyneux, Perron...
I'd recommend the HD Brow course. I realise it's too expensive for you but I've found it very worthwhile.
They use strip wax and have their own tints to use that you blend to customise the colour for your client.
Think about your desk and how you would have it laid out.
Menda Pumps for your Scrubfresh, Dsperse, Nourishing Remover, Nail Polish Remover, Soapy Water
Glass for your Barbacide
Lint Free Wipes
L&P Brush & Nail Art Brushes
Etc, etc. I hope this helps but maybe just...
Normal tools of the trade would be your cuticle pushie and cuticle nippers. I assume you'll get products in your kit for the course. If you don't have a note regarding your kit, you could phone and double check with Sweet Squared, who I assume you're training with.