How can I help ? Tomatoes do best with 8 hours or more direct sun . Not sure anyone can change that. But you will still get tomatoes, if that helps.I grow in containers so I can grow in my sunnier spots .Best of luck.

5 hours isn't ideal for sure but enough to get some fruit. But sun exposure isn't directly related to "producing blooms but not any fruit to speak of". That is a condition called Blossom Drop and it has other causes - primarily air temps, high humidity, and excess nitrogen fertilizer.

I linked the FAQ on it below and you can also search that term for lots of discussions here about it.

Dave

Here is a link that might be useful: Blossom drop FAQ