I have also gone through bad patches in my time, very demoralising isn't it.
Only had one recently, came out of no where, and I put it down to that my grip was reverting to what I had many years ago, where I had a gap at the thump/index finger webbing which a coach back then helped me get rid of. I had been concentrating too much on a loose grip that it had come back. Sorry Gavin

Do not blame a new cue

Just get to the table, practise with a spread of balls, and just pot away. Forget about red, colour, red. Just go back to basics and ensure you are standing right for you, grip is good and light, alignment is right, cue delivery is good (front pause, back pause, deliver straight).
Forget about the new cue but I do not know about any process that can speed up the comfort zone with a new cue.

Just do your game as you usually do, do not let any particular bad shot or night get you down. Smile and get to the table again.
Once you start potting good, move onto any practise routine(s) you usually do, be it line-up or blacks and reds, or whatever and get your positioning good.
This is what I did and within a week or two I was back to where I was before and now I see good improvement as well. I recently had a great break (for me, see other post,

) and I cannot wait to get to the table tomorrow night to continue that feeling and performance.
All the best, hang in there, and tell us how's it going.

cheers