If your 1 Point relay (N) isn't stuck when you start a game but locks on when you activate it manually, check the end-of-stroke switches on your 1 Point score reels.

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The only problem with leaving paper in the EOS switch is that score reel might not give points when the player earns them. Or the paper might fall out.
You should be able to fix the problem by adjusting the EOS switch instead of taking the reel apart:

For a switch to work 3 things are necessary:
1) When open, there should be a small space between the contact points (duh)
2) When closing, the long blade's contact point should push the short blade's contact point enough to move the short blade
3) The contact points should be clean, which they usually will be if #2 is happening