Q: Book Pro Mid 2014 13' Retina getting hot and battery dies pretty fast

The displayed temperatures are well within acceptable bounds, so what ever you are running on your MBP is easily being serviced by your MBP. 

Ciao.

A 13" 2013 MBP has one fan and the program developer decided to label it as such rather than change it for single fan installations from dual fan installations.

Ciao.

The body of the MBP is aluminum and is part of the heat dissipation process and will become warm/hot if the internal temperatures rise due to the type and nature of applications being run.  All of the data you have provided shows that every thing is 'normal' and well withing acceptable operating bounds.

What is your definition of "And being hot'?  If you close all applications and run only text edit, the MBP will be relatively cool.  Engage Skype and the fans will spin at maximum rpm and the case will get hot.  That all is 'normal' for those respective operating conditions.

Should you have any doubts, make an appointment at an Apple store genius bar and have the MBP evaluated.  It will be done for FREE.

Ciao.

The temperatures reported by that app (if they are to be believed) are not unusual, and there are no obvious processes demanding inordinately large amounts of energy. Its exhaust fan was reported to be operating at an inaudible idle speed or nearly so. In other words I can find no reason for the excessive heat generation and the rapid battery depletion you are describing.

It has been my experience that the only times that will occur is in the event of a corrupted parameter in the SMC, and an SMC has fixed it every time. I realize you already did that though.

If quitting each individual app and process that might be contributing to the problem does not resolve it, then the only remaining possibility, however remote, is an undiagnosed hardware failure that you won't be able to fix outside of a trip to the Genius Bar. Another distinct possibility is a corrupted OS X installation, which might be addressed by reinstalling OS X. Although that rarely accomplishes anything, "rarely" ≠ "never" so you might as well try it. Back up your Mac before making any modifications to its file system.

If the system detects its battery requires replacement, it is likely that it really does, which would explain the problems you have been experiencing.

Please do not use clever third party hacks such as "Macs Fan Control", "SMC Fan Control" or anything resembling those products. Attempting to circumvent the Mac's cooling system's design is ill-advised. Such things cannot possibly convey any benefit and can conceivably result in accelerated hardware failure. I recommend you uninstall that system modification prior to bringing your Mac in for service, lest Apple determine its use has invalidated any applicable warranty. I have not known them to do that, but don't give them the excuse to do so.