Leak from guttering joint

[Alan12]

Hello,
Getting water leaking from guttering joints, both from connection between guttering and down pipe and at a gutter joint. The leak was because the gutter was blocked so I have cleared that out, but I’m looking for some advise on how best to fix this joints?
I’ve put some photos below. Leak is from three points at the joints in the photos.
Thanks

 

[Wayners]

Remove rubber and clean or replace.
I've got two myself I need to fix as the rubber gets dirty or slime grows underneath it.

 

[Alan12]

Thanks. The connection between the guttering and downpipe is actually loose. It can be disconnected/pulled apart. Not sure if they are meant to be like that - in which case there will always be a gap for water to flow out, or if they are meant to be a tight fit?

 

[Wayners]

Should be a good fit but when I've come across problems like that ive put a stainless steel screw through