I noticed there is a route that starts inside the cave just below the beehive. Obviously it looks like it's impossible to due now because of the beehive, but what is that route's name and rating? Also there are two long climbs just to the right of the cave that stop about 20ft from the top. What are those names?

Konrad...the route that climbs out of the cave is "Brachiation Dance" (5.13b). Bolted by Scott Loomis and the FA was by Kevin Thaw. The two long routes to the right (north) are 5.11s according to Troy Mayr's 2004 SCal Sport Climbing Guide. No names are given. There are also two new projects that begin on the right margin of the largest cave. They diverge near the obvious slot 30' up. On goes straight up toward the grey cluster of inclusions while the other traverses above the cave toward the obvious large hueco and up.