Running power to outside workshop
First off, you likely want type UF cable for this application -- URD isn't even a recognized NEC type to begin with, and even URD/USE cable can't be run indoors as per 338.12(B)(1) as it lacks the fire-resistive insulation of NM, UF, and SE cables.

Second -- while 2AWG copper USE has an ampacity of 115A as per the NEC, since you cannot use USE in this application, you must use 1AWG wire here, as UF has a lower temperature rating than USE (60deg vs USE's 75deg) and thus a lower ampacity (2AWG copper UF can only carry 95A, while 1AWG copper UF is limited to 110A).  This may also require you to upsize to 2" conduit in order to keep the conduit fill acceptable.  Of course, since you are doing the run in conduit, 2AWG copper THWN is also an acceptable choice of wire for this task, provided the indoor run is done in conduit as well, and would allow you to keep the existing 1.5" conduit.

As to the neutral and ground wires, a 2-2-2-4 configuration would be used -- this is as per 215.2(A)(1) Exception 2, which would prevent an undersized neutral in your situation when the feeder is fully loaded.  Of course, 2-2-2-2 is also acceptable, and may be easier to manage when working with individual THWN wires in conduit.

If you do decide to use URD/USE for the outdoor run -- you will need to use a different wire type for the run indoors.  You'll either want copper THHN/THWN in conduit (2AWG works), or a 2-2-2-4 copper SE (note, NOT USE) cable, either in conduit or run as if it were NM.