I wouldn't use 2 inch pipe for draining anything but just water. If your running solids, as in a toilet, than use 3 inch line as a minimum.
Distance isn't an issue, but like everyone else said, drop is. You didn't mention how far this would be, but if you can tie into your existing system, than that would be cheapest and easiest.
3 to 7 percent is what I've always been told, but I wont' argue with 2 percent, but it seems on the shallow side.
I use a 6 foot level with a small piece of 2x4 taped to the end on it's edge. The level is 72 inches, so the 3 1/2 inch drop will put you real close to 5 percent.
How deep is the inlet to your septic? How far do you have to run the line?
If your 100 feet away, than your septic inlet needs to be between 3 to 7 feet deep with five feet giving you a nice 5 percent grade.
As for distance, the rule of thumb is to put cleanouts at just under twice the distance you can reach with a snake. My water utility is requireing me to put man holes in every 500 feet because they can reach 250 feet.
Will you ever have or need to dump an RV?
If you can, I like to have a cleanout on either end of the building so I don't have to take off the toilet to unplug a clog.
If you have to put in a collection tank and pump it uphill, there are kits to handle this. Allot of basements have this type of system. The size of the discharge pipe will based on the pump you use. I'd guess around an inch for what you need. My RV park will have a 3 inch line to handle the discharge for 300 RV's. Sewage under preasure requires a much smaller pipe than one fed by gravity.
Eddie