1.There still exist many problems to be solved.和

1.There still exist many problems to be solved.和
There come the various responses.
两个句子中 动词exist come需要加S变成三单形式么?为什么?
2.As compared with the high price ,the quality and taste seem barely satisfaction.
这句话里seem barely satisfaction怎么可以这样用呢?感觉上语法成分不全 而且修饰关系也是错乱的
Thank you all .Sincerely