The Crimson Trace Glock Gen 3 Green Laser Grip might fit a PSA Dagger but it can't be guaranteed. There is not a laser grip specifically for the PSA Dagger, I recommend contacting Crimson Trace to confirm compatibility.
The one that is for Glock 19 so you will need MPN: LG-639G
The Crimson Trace Glock Gen 3 Green Laser Grip will may fit a Gen 5 Glock 45. The Crimson Trace Glock Gen 3 Green Laser Grip is compatible with Gen 5 Glock 17 so I believe it would fit a Gen 5 Glock 45, but since it is not listed as a compatible model fitment can't be guaranteed.
The information from the manufacturer I have found states that the Crimson Trace Glock Gen 3 Green Laser Grip will only fit Glock 17 Gen 3 models. I recommend contacting the manufacturer in regards to compatibility with Gen2 Glock 17's.
You will need to remove the Lasergrips to be able to change the batteries.
Crimson Trace doesn't make a Lasergrip for the Sig P365 but we do make the Laserguard style LG-422(G).
Yes it can you will need MPN: LG-637G
No, this will not fit the Glock 20sf.
Yes it will work with glock 19 gen 5 as well
Yes it will work with the glock 22 gen 4