I’d agree with most of what’s already been said, but there are no firm answers to some of your questions.
Pedals are very subjective. If you like the idea of a double pedal (as opposed to carrying around a second bass drum) then , by all means, get one. I’d recommend trying different ones at a good music store. I don’t use one myself, but I’ve played a few. The absolute fastest I ever tried was made by Axxis (sp?) but cost $600 new (ten years ago). DW makes very fine equipment as well, but again, not cheap. I defaulted back to my original Pearl pedal (probably the same one you’ll get with the Forum) and like it just fine. I’d recommend you play what you’ve got for a while before you decide whether or not to upgrade.
Cymbals, too, can be pretty subjective. When I got back into music after a 10 year hiatus (about 15 years ago), I walked around a music store with a drum stick and hit every cymbal in the store. I didn’t look at brands and I didn’t look at price. I listened for what I liked and what sounded good together. I found I have either good ears or expensive tastes because I ended up buying all Sabian HH cymbals (20" “classic” ride, 18" light ride, 15" sound control crash, 14" medium thin crash and 13" Zildjian hats which I’ve replaced with 13" Sabian Fusion hats). I’ve added a few specialty cymbals since. (Well, you did ask.) Every drummer who’s ever heard them raves about how good they sound, but not many would want them. They cost too much and have to be played with a lighter touch to get the best effect.
If I’d known I was going to have so many cymbals I’d have gone with a rack system instead of stands. Now it will be mondo expensive to switch. Just something to think about.
For a more vintage '60’s sound, go with Zildjian. (I don’t really care for the sound of Paiste or Pearl cymbals or any of the generics out there. But, again, it’s all subjective. Trust your own ears.) “Trashy” is not necessarily a bad thing.
Sticks and heads are even more about personal taste. Your choice of sticks will be pretty clear, pretty quickly. Get a variety of different kinds and see what you like. It seems to me that most drummers are using wood tips, but I don’t know why. (Well, I know why, I just don’t agree. I prefer the sound of nylon. And they don’t break any more often if you play with accuracy. YMMV) Size depends on how you play. Smaller and lighter for speed, bigger and heavier for power. 5B seems to be pretty common and a good starting point. Brand is all about feel. Look at some different brands and you’ll notice slightly different shapes and textures. Some use a lot of lacquer (which I hate) while others are more bare wood. Zildjian sticks are very front heavy due to a thick “shoulder” (the part just behind the tip). Over time you are going to buy a lot of drumsticks, so keep trying different kinds until you find what you like. (And they’ll be really expensive or the company will quit making them. That damn Murphy and his law.)
Choosing the right heads is a science and an art. It’s all about finding the best compromise. Single ply heads are the brightest and most responsive (sticks bounce easier), but don’t project as well and are not as durable. (You might want to try using them on the bottom of the toms.) Double ply heads are darker and don’t respond as quickly. But they are LOUDER and they don’t tear as easily. There are other considerations as well. Try different things over time and see what works best for you.
A couple of other things. Twenty-five years ago you would have been using duct tape or felt under the head to dampen the ring of the toms. And the snare drum doesn’t have that little felt pad mechanism in the shell anymore. Things have improved a lot. “Moon Gel” looks like little rectangles of blue gummy worm stuff. Put a piece or two (or three for big drums) on the head along the edge and never think about it again. For my snare, I use some “Zero Rings” (by Remo, I think). These are light plastic rings you lay on the drum. Start with one then add one or two more (overlapping) until you get the sound you want. “Drum Pillows” are recommended for dampening the bass drum, but I use a “Ring Control” head on the batter side and a bandana (or scarf) hanging from the lugs on the outside against the head and that works perfectly for me. (Except in the wind, which blows the scarf around. The wind can cause problems with the snare drum rings as well. Keep some duct tape handy. You are a musician (or hang around with them, anyway). You need duct tape.)
And finally, I learned a lot about tuning (and general drum maintenance) from a video called “Drum Tuning Sound and Design with Bob Gatzen”. I don’t know if it’s still in print, but it would be well worth trying to find. (I’m not sure how accurate the title is, but it’s close.) The narrator can be a little goofy, but the information is very useful.
Good luck, but mostly just have fun.