The provision for a full time education under s.19, the Education Act 1996 will not get you the type of package you want, but it should get you more than you currently have. So, as well as pushing for more provision in the meantime you need to ask for an early review of the EHCP. You will need new reports unless the ones you have are very good and written to support a bespoke programme, which is unlikely from your posts.
All your suggestions are reasonable. One thing I would say is there’s no sensory OT, SALT or MH therapies in there, and you need someone to take DS to the sessions/out. You should also ask for some equipment and assistive technology for DS e.g. a laptop or iPad, printer (and ink!), software. As DS enjoys Latin maybe a Duolingo or Tassomai subscription. You need a budget for cooking ingredients and trips out etc. I would decide what physical activity you want and don’t mention any others. If you want swimming, you want swimming lessons not just swimming.
Have you looked to see what your LA’s offer is for independent travel training, often aimed at preparing students for post 16 but some LAs offer it to younger secondary pupils?
To give you a comparison DS1 has a comprehensive EOTAS package and his includes:
12 hrs 1:1 tuition - 3 English, 2 maths, 3 science, 1 each of History, geography, RE, computer science.
1 hour each of SALT, ELSA, play therapy, Lego therapy, rebound therapy, SIOT, climbing or kayaking (DS isn’t accessing either at the moment due to his MH), and swimming (a mix of hydrotherapy, swimming and aqua therapy).
2 hours of OT focusing on independence, life skills, social skills.
3 hours of physio - 1 hour with a physio and 2 hours with a personal trainer, one of which is at the gym (or that is what it is supposed to be, but DS is struggling with going to the gym at the moment due to a stressful visit and has been refusing to engage with a second session at home instead although did originally so he’s only accessing 2 hours at the moment, not 3).
12 hours of HLTA to cover 2:1 out of the house and travel time.
Equipment e.g. laptop/printer, assistive technology, sensory equipment, exercise equipment
Memberships/subscriptions - gym, MEL science kits, magazines, tassomai, national trust, touch typing programme.
Sundries budget for e.g. stationary, books, trips out.
Transport
Professional time for planning/reports/meetings/reviews/travel/leading and overseeing the package.
CP supervision if any of the professionals require it.
Then social care respite of 14hrs per week which is actually 7 hours as 2:1, and 10 overnights per year.