I'm going to take a stab at running through some of the issues this question has, that I can see. Personally, I don't know where I stand on the issue, but discussing specific issues people have with the question would be useful, I think. The first is the start of the question body:
I know this question is a bit out there... but for the record, I guess. I need to know.
Stating that you're just randomly curious about a question comes off as pretty lazy to me. It's similar to homework questions on Stack Overflow. Without any discussion of context for why you want to know, or your expertise, or your research, it looks like a 'do this research for me, please' sort of thing. In general these get received poorly here, with fewer upvotes, but on its own this isn't much of a reason to vote to close.
Now for the rest of the body:
So Did Jabba the Hutt perform sexual activities of any matter with Princess Leia whilst she was enslaved?
There are a couple of issues here. The first is that Jabba and Leia wouldn't have 'performed sexual activities' (which is a super weird phrasing), Jabba would have raped/sexually-assaulted Leia. She was a captive, there's zero indication that she would have consented to anything. Glossing over this detail, makes it look like the gravity of what's being discussed is being ignored. Note that the odd phrasing and grammar in the question mean this is probably unintentional.
Second is that in light of that, this question is asking something that clashes pretty heavily with the tone and subject matter of the film it's talking about. Return of the Jedi is a rated PG film, but discussions of rape are not PG material. The Star Wars films are largely light-hearted adventures, and rape is a pretty significant divergence from that.
To non-US users, here in the USA, we rate films on a scale of 4 ratings, each with the expectation that a higher rating means the viewers should be older/more mature. G is the lowest rating, which means the film is appropriate for any age. Think a light-hearted Disney film. PG is the next rating, it brings the expectation of a little more maturity. The youngest kids might not understand the film, but most middle/older kids will be cool. PG-13 is the next one, the 13 stands for the rough age that kids should be before watching these films. R is the highest rating, which is meant for adults. R films tend to have plenty of explicit violence, swearing, adult themes/concepts, etc.
Did I miss something, are there other issues with the original question? I'd love to get this fleshed out more, so we can all understand the issues people have with the question.