On another forum someone suggested that I use a bicycle tube repair kit to repair those boots. How do you guys feel about that idea?
If parts were unobtainium, I'd give it a shot. But, I'd have doubts that a patch would survive the carb installation procedure. Besides, yours aren't just cracked, there's rather large structural chunks missing. Repair patches aren't much for adding structure.
I was browsing through a manual I printed off of this site trying to figure out where this hose goes. It's the "blow by gas" pollution reduction system thing isn't it. Should I replace and reattach this thing? Also I'm missing the cover for my air filter...how important is that.
The breather hose attaches to the side of the air filter box see #24 in the diagram. Also, see pg 108, Chapter 8. of the Honda Shop Manual. Please do restore it's proper operation. Blow by and cranckcase vapors are carcinogens best burned by the engine.
The filter cover shown in the diagram is actually the type used on the F models, and maybe the 77-78 k. Yours should have a tray with an oblong screened opening along the top facing the seat. The tray fits onto frame rails. There are two rubber pieces that fit onto the filter box top ends that seal the air box to the tray. These latter pieces, along with the tray I suppose, are nice to have, but not essential. My 74 has been missing one of those rubber things for years. What is important is the breather element pieces at the bottom of the filter box (19, 20, 21, 22) and the #5 spring leaf that holds the filter in place against the box outlet. Without the breather element pieces, you can expect very short paper filter life, as the vapors will speed filter clogging.
BTW, I don't use paper filters anymore due to the expense. UNI NU4055 filters are foam, cleanable, reusable, and fit in the stock filter box like the stock one. The filter along with the aerosol cleaner are a bit more expensive that a stock replacement, but when you consider the stock one must be replaced every year, the UNI is far more thrifty in the long term.
Cheers,