This issue is made complex by a dearth of information, BUT there are some things we can glean here that may be at issue:
1) On the DL, you state that you are doing 3x5. The NLP does not use 3x5 for DLs, it uses 1x5, for a reason that is explained in the book. 3x5 may be too much work to recover from by the next session, which...
2) You do not clarify how often you are deadlifting.
3) On the press, you do not state what increment you're increasing the lift at each time.
3) You do not provide some other necessary information. See this link:
Necessary Info for Programming Questions
So you may not be (probably aren't) properly applying some of the basic programming principals for the NLP. We'll need more info to help, but right off the bat you should not be doing 3x5 on the DL. And yes, this could affect your other lifts.