Green & white spear shaped leaves with a faint hint of pink on some edges. No bloom no fruit, etc. Largest leaves are the size of a dollar bill.
It appears to me to be a Variegated Weigela shrub.
https://www.gardeningknowhow.com/ornamental/shrubs/weigela/growing-weigela.htm
I know I should prune my old weigelias in June after flowering but that is an inconvient time of year for me. If I prune them in February what will happen to them?
If you want to wait to prune them, then you can do so as soon as you start to see new growth. This would be a good time to prune if you missed the fall deadline. Here is an article for more information on their care: https://www.gardeningknowhow.com/ornamental/shrubs/weigela/growing-weigela.htm
In your pruning instructions below... where exactly is the part I’m to cut? Can you send me a pic so I can see where? " make sure that when you prune weigela branches that you cut them back to a point where two branches meet.” Read more at Gardening Know How: Trimming Weigela – Tips For Pruning Weigela Bushes https://www.gardeningknowhow.com/ornamental/shrubs/weigela/pruning-weigela.htm
If your weigela is big enough to have multiple branches, then you will want to cut the branches where they meet at the v section leaving just a small piece of branch. If it is still a single stem, or very young, then you can cut down to your preferred height, right above where a leaf is, or was. Even if you do make a cut in the wrong location, it will not do any damage. The guidelines suggest the best way to make it look its best. It won't be dangerous to cut slightly out of place.
Are they evergreen Or do they go dormant in winter?
Could you please advise what to do with my weigela bush? It has brown, dead leaves all over it that do not drop? Should I trim off all the branches?
Yes, this may be necessary to give it a kickstart for the year. Make sure there is plenty of "give" in the branches and that they are not completely brittle. This article will give you more information on the care of these: https://www.gardeningknowhow.com/ornamental/shrubs/weigela/growing-weigela.htm
Can I transplant a weigela that is 20 inches tall? It's not growing much where it is.
It is best to transplant Weigela after its leaves have fallen off in the fall, but before the ground is frozen. It can also be transplanted in early spring.
When does weigela start to leaf out?
You should already be seeing signs of leaf growth, but if it has been a little colder than usual then it may take a little longer. Break the tip of one of the branches, just a few inches from the tip. If it is brittle, then keep cutting until you reach living tissue. Removing any dead growth will usually give it a kickstart.
This article will give you more information on the care of these: https://www.gardeningknowhow.com/ornamental/shrubs/weigela/growing-weigela.htm