The set on the left consists of Uesugi Kenshin and his mount, while the set on the right consists of Takeda Shingen and a retainer. I'm assuming it is Takeda since the screens bear the Takeda mon.
The figures are made of a soft vinyl, and come pre-painted. Details are soft and toy-like.
Kenshin has his sword arm bent back at the elbow at an uncomfortable angle (though you can't really see it in this picture). The figure was not designed to sit on his mount very well either (Kenshin's cape and the high cantle of the saddle make him tilt forward). The horse has a peg under one hoof so it can be plugged into the diorama base that comes with the set.
General Takeda (right) is wide. Really wide. I'm guessing it's Takeda, but he is not wearing his famous red armor with wigged helmet. In fact, his helmet is more reminiscent of Shimazu Yoshihiro's than any representation of Takeda's helmets that I am aware of. The accompanying samurai (left) has a peg in his foot to allow him to be plugged into the diorama base that comes with the set. I thought he was a mounted figure at first because he was so bow-legged.
The honjin (本陣) consist of a single two panel screen, and two single panel screens for the sides. The screens are made in hard plastic with the mon of each daimyo printed on the center of each panel. The screens come with pegs that allow them the be plugged into the diorama base.
If anyone has any information on these figure sets, I would appreciate hearing from you.