What is the first fighter jet which was built with twin engine and tail configuration?
One of the first was probably the unconventional XP-79.
https://en.wikipedia.org/wiki/Northrop_XP-79

It never entered service of course, but does meet your criteria.

Something that kinda meets your criteria would be the F7U Cutlass. Twin tails and twin rear mounted engines though the tails were in separate tail booms outboard of the engines, a similar configuration to that of the DH Sea Vixen and Venom of roughly the same period.

These did enter service.

Then there is the XF-90 which has twin rear mounted engines with a single vertical stabiliser over them. 
The Soviet La250 and Tu28 had similar configuration but came later.

This also did not enter service.