Mystique Help

I have a few questions… I’m a COMPLETE WordPress newbie and I dived into this last night and I’m loving it – except for the things I can’t do. If you can only answer 1 point, or even half of a point, please do – I need all the help I can get.

Should point out, my site is temporary at https://abcmsaj.net78.net at the moment.

1. When I go to one of my pages (i.e. “Tech”) I want to be able to see a list (archive) of every single post that I’ve either categorised under “Tech” or tagged with “Tech” – And I want to do this with every page and subpage I have. (Quite easy for some of you, not for me though!)

2. On the home page at the top, I have the featured posts bar – How do I make the grey background into an image (an image related to the featured post on the slider at the time.)

3. I want to move the search bar from the widgets in the sidebar, up to the header. No idea how. Lol.

4. If you go to https://www.nxtgamer.com, he has his front page split up into sections – like “Latest Articles,” “Top Articles,” a nicer featured posts bar, “Latest Reviews” – How would I go about doing that (or is it all custom widgets?)

And that’s all (for the moment.. lol) If you could help in any way at all, I’d really appreciate it.
Thanks a lot, Alex.