The travel to Two Stars took you roughly 2 and a half days at full gallop, stopping every night to rest. As for supplies, my posts mentioned a  large saddlebag ready to go when you left Avar's residence, so supplies for about a week are in there, counting on the both of you if you ration carefully. You've now got about 4 days worth of food and water left in addition to what you brought.

The gates are open, as is mentioned in the last post. Not wide open, but enough for the two of you to ride in side to side.

The foundation of the walls is set in stone and the majority of the low walls are worked granite. Most houses inside the town are made from stone(previous knowledge Keystone had).

You also know the locations of several masonry workshops in the town. None of them are very close to you at the moment.