it sounds like you are confusing visa terms. You likely got a free 60 visa exempt entry where you just showed your passport and didn't buy a visa in advance. This is not a tourist visa, which is when you apply and pay for a 60 day tourist visa in advance of travel.
You are incorrect about 360 days a year. You're confusing the fact that if you DON'T leave the country after 180 days, you can extend the visa once for another 180 days, giving you 360 days total before you must leave and come back to reactivate another 180 days. But anytime you leave, you get a new 180 day stamp upon entry. Leave on day 1, day 10, day 100, day 179, it makes no difference. Your new stamp starts another 180 day count (+ can be extended once for 180 more days). You just can't extend more than one time per entry, so after 360 days, you must leave and come back.
And exactly how does your country (and most countries) handle visa free entries? Thailand is actually less restrictive on re-entries than many countries worldwide.
Definitely not necessary for it to be in baht. Think about it, if someone is applying for a visa to come to Thailand, why would they already have Thai baht in an account? Sure, some might, but many people applying will have never even been to Thailand before.
the lawyer you go to for company formation will handle work permits and visas. It's a standard thing they do. Keep in mind that you will need a work permit together with the business (Non-B) visa in order to actually do any work for your own company. Otherwise, with only the Non-B visa, you are very limited to only certain activities like attending business meetings, and can't actually work at your own company. To get a work permit, you must hire 4 Thai staff to qualify, and must have a minimum paid in capital into your company, all of which the lawyer will explain to you.
The company that hires you handles it through their own lawyer. Unless you mean you have started a company, in which case your company's lawyer will arrange your work visa.
Sounds like you are planning to be one of the rule breakers, and unfortunately, like many Chinese, they think it is OK to not respect the law. This is why legit Chinese businessmen have to suffer because of too many Chinese in Thailand thinking the law doesn't apply to them.
In case you are Chinese ethnicity and/or targeting Chinese tourists, be particularly aware that the Thai government has specifically been cracking down on Chinese tours, as Chinese tour operators are frequent offenders.