1087 seems a higher value than I would really expect, so the coil is possibly suspect. You need a diode test feature on your meter, to be able to test the diode - you need to apply enough voltage to forward bias it to conduct and the display should show the forward voltage drop in one direction and a different higher value in the other.
One testing technique to avoid removing components is to simply cut tracks - using a Stanley blade, to cut a thin break to isolate a component. You could do that easily, to test the coil resistance in isolation. You can repair the breaks by simply scrapping the solder resist away from the copper and solder tinning across the break. Any value of resistance less than infinity across the coil would then suggest the coil is usually OK.
My meter will do diode tests, relay diode .620v forward and 1.258v back, both immediate readings.
Interesting technique a la stanley blade, it might come to that but also would like to know where 33v on both sides of relay coil is originating from.
Am also considering modding toroidal transformer strut with a longer piece of studding to raise transformer so can stand pcb on side while powered, so both sides of board remain accessible at all times.