Do staff respond to support tickets?

Support is often bogged down by lots of reports/tickets. They'll get to your's eventually.

tl;dr: yes, support does respond to tickets.

depends on the ticket.
user reports usually take a lot of time since there's a huge backlog. but some stuff has high priority, like rerolls.

of course my tickets are sorted in hours because supports likes my bribes loves me. :3

depends on question. wrote one today and got an answer an hour later :)

sometimes they never answer ,just delete ticket and move on ;)

I think they answer based on priority.

For example: yours would be low priority, no offence.
And then there's a lot of high priority ones for rerolls and fixing GA's and such it can take a while before they get to yours.
Just be patient :)

How long was the suspension? You could try to guess what it was depending on the duration of the suspension.
http://www.steamgifts.com/roles/guest

yes they do, with half year delay but they do :P

Last month I ran a giveaway for a copy of Polyball that required completing a puzzle yourself in order to be eligible to enter. There was one person who somehow magically entered without doing the puzzle so someone leaked the giveaway link to them.

Here's a couple of screenshots showing what I'm talking about:

Puzzle Part 1
Puzzle Part 2

^^ Notice how there are 11 players in the second part but only 10 people who solved the first, which is impossible unless the link to the 2nd part was leaked by someone. This was the first thing that tipped me off at the time.

Here is the private giveaway in question:
http://www.steamgifts.com/giveaway/tEqzi/polyball/entries

By comparing usernames, one can see that user "Ryusho" somehow entered the giveaway despite not having completed the puzzle (as seen in the screenshots above), indicating that the giveaway link was leaked as well. Examining the time stamps on the entries shows that yours and theirs are a mere 4 minutes apart (one can see this by hovering the mouse over the date), and of all of the entrants in the giveaway you were the only one who had them on their Steam friends list.

So basically leaking private giveaway and/or puzzle links is a rules/guidelines violation. Specifically:

• Respect the privacy of invite only giveaways, and if you're invited to a private giveaway, do not share the link with other users unless given permission by the giveaway creator.
• If you're taking part in a puzzle, do not leak or hint towards any information that should remain private, such as the game being given away, or the URL of the giveaway.

This was also explicitly stated in the puzzle forum thread as well as in the puzzle itself.

Check this page. There should be some info there about your suspension.