From an professional engineering and manufacturing perspective, it depends on whether the previous schematic's board was manufactured.
If it was manufactured, don't re-use reference designators. Delete D1..D4 and don't use them again, use a new refdes. That prevents confusion for any staff in development, component procurement, stock control, production line, test and field service, who were using the old version and must work with the new one.
For example, service manuals that said 'check the voltage across D1' could now find a different part doing a different job. I've worked with a good number of production test staff assembling boards into the equipment, service engineers out there fixing this stuff against the clock, in many companies over a long time. They get to know certain parts for test to diagnose common failures etc. Changing that in the next board revision disrupts that knowledge, very pointlessly as there's no benefit: there's no shortage of new refdes numbers to use. Why not choose the the path that eliminates any chance of that confusion.
If it's not been manufactured, drawing released or left your PC before, you can re-use the refdes.
Regarding the refdes to use, it's not a single diode so not 'D'. People used to use 'BR' and many still do. (I don't see 'U' normally used but that's my subjective experience.)