No, the websites are different, each with unique content. Moreover, they are not linking to each other.
The truth is that it has a limited impact on your rankings. If you are doing blog-farms and blackhat then the last thing you want is all your sites on one IP because all it takes is for one IP to go down and all your sites go down. Speaking from a professional SEO perspective, the only other reason why you would want to have as many unique class C IP addresses as possible is if you were cross linking or interlinking. Google does an ip-check to find out if you are interlinking. If you are then they will find out and ban you. So my answer for you in this case is :- not really
It won't make a difference. One caution however, don't link between the two unless they are related somewhat in topics. If the two sites are related you won't run afoul of of Google with a link or two between them.
No as long as the content is not shared. I have about 20 sites on one IP that are ranked respectively by Google.
I would just like to echo the sentiments. Having multiple websites on the same IP would not have any adverse effect on the rankings. However the websites need to be unique and cross linking should only be done if the content is related. As long as these are taken care off, I don't see a reason to worry. Put your mind to rest.
No, it does not affect your SE rankings at all. In fact more than 2 sites are also maintained on one IP. As such you are saying that both sites have different contents.