As stated above, either could have contributed to your handling issue; although low tire pressure generally causes wandering not a death wobble. Based on the experiences of others here, I'm going to guess it was caused by your lack of steering damper (or, realistically, having a softer than stock damper).
Additionally, if your tires are not the factory size, the pressure ratings in the door and manual do not directly correlate to what you should be running. The appropriate thing to do would be to take the pressures stated for OEM tires, find the load in an inflation chart that they correspond to, and match the load on an inflation chart for your new tire size to find the proper pressure. Or, you could do the chalk test.