I had a couple of similar issues.
Firstly, regarding your passenger hazard light problem. For my NB neither amber light would flash properly unless the engine revs were higher than idling. I found that the voltage at each amber bulb was only about 9.5 volts when the alternator wasn’t kicking in. That was enough to drive the original incandescent bulbs but not the LED circuitry. The battery voltage by the way was about 12.6 volts, rising to 14.4 volt on charge. I suspect it was a dodgy 25 year old flasher relay. As I wasn’t supple enough to wriggle upside down under the dashboard and remove the flasher relay, I simply added a relay to each amber LED in the engine bay using the existing amber feed to drive a relay that powered the amber LED from an unswitched 12v supply. Maybe you could just try increasing the engine revs to see if yours has the equivalent problem.
Secondly, for turning the DRLs off, I used a standard auto 5 pin relay to break the DRL power connection when the sidelights were on using the common & normally closed terminals. So either dipped beam or main beam will power the white DRL off. I think the DRL feed wire from memory was white, but it could be red. I’ll have to check that in the morning.
[EDIT] I’m pretty sure the fused feed wire with my kit is red and not white.
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See the diagram below
