Will I face any issue related patent or copyright problems?
This is very hard to say. Almost certainly you should be prepared to do a patent search. Developing within, say Xcode, using the built in functionality ought to be pretty safe from a look and feel perspective. However the underlying logic might run afoul of a patent. There are a lot of patents out there. The fact that multiple apps have similar features is no guarantee of freedom to operate since one app might have licensed technology from the other (or a third party). As for copyright, that is off topic on this site but I would hesitate to just copy another app screen for screen.
Please understand that I am not a lawyer and this is not legal advice. My own opinion is that it is rather foolish to rely on internet forums and Q&A sites for advice when running a business.