Thanks for the photo. For anyone else who's following along, more info below.

Here's the Picker data sheet. A quick search shows they're available at Waytek Wire -and- Amazon.

It appears to be a copy of the TE Connectivity / Potter & Brumfield 2-1414939-2 relay.

The mating connector for coil control is the TE Connectivity / AMP SuperSeal 1.5. Here's the two-position housing at Digi-Key.

The crimp contacts for that connector are available for 15-18 AWG or for 20-22 AWG.

The connector also requires wire seals to maintain its environmental rating. Those come it three sizes, for wire insulation diameters of 1.2-1.6mm, 1.7-2.4mm or 2.5-3.3mm.