Like most issues discussed on
permaculture forums....it depends.
I have had several different sprayer attachments that were made in different ways.
Leaking at the handle I've used Teflon tape or pipe dope to fix
Leaking from the spray end is likely a rubber gasket or an o-ring. O rings are great to have on hand on a homestead and if you do not have the right size you can slice with a razor cut to size and super glue it back. Often this fix works for years.
Clogging can happen from mineral buildup and hard
water deposits. If that's the issue I would try soaking the entire thing in vinegar. If this proves ineffective you could take it apart and clean the screen with something stronger or just a good brushing.
The handle actuator sticking could be a lubrication issue. Try using a food grade lubricant pen with a needle applicator if you aren't comfortable dismantling your spray head.
Good luck!