No specifics, but the relay seems to be part of the ATCB series. The 1F is probably some form factor designation, the 1A is the contact arrangement. The 03 may be some form of voltage tolerance like "must pick up" or "must drop out" voltages. (just a guess...)
Some ACTB datasheets show the same pin arrangement as yours, but I cannot find the 1F types, sorry. They are commonly called automotive TB series of relays.
For lamp control, the ACTB1L1 (or L2, L3) may be a suitable replacement, but check the pin spacing and overall size of the old relay you have first. Measure the coil resistance as well, see if you can find one that matches in the datasheet. The 03 on the old relay may mean "L3" type. (again, just guessing...)