Very highly unlikely in my opinion especially if these accounts don't interact at all.
With that said, there have been cases where accounts got banned simply because a lot of accounts are logged in on one single IP/device even though none of the accounts are botting(see video below). But if you're going with a maximum of 4 accounts, I don't think you're likely to be in any trouble.
But if you want to be totally totally sure, probably use a proxy to separate your main from the bots.
Highly unlikely. Jagex has been known in the past to chain ban accounts for botting and still commonly do so for RWT. But that's for egregious levels of rule-breaking.