I hate to be that guy, but the USCG Regs are VERY specific about lighting, and what you can and ...shouldn't do.
See here: USCG on LED Lights
And here:USCG Navigation Rules.
(Part C, Rule 25 "Under Oars" Applies to peddle-driven vessels, too)
For those who don't want to dig thru all of that:
For paddled/peddled boats, only a white stern light (which may be handheld) is required, which should be visible out to 2 miles.
Powered boats require a white, 360 deg visible, stern light (2 miles) + red/green bow lights, with specific angles of visibility and distance are required. Lights should be labeled "USCG Approved" or meet all requirements for Approval.. Powered, to the USCG, means any mechanical/electrical non-human power source. I.E. battery or combustion power sources.
What you have installed for nav lights doesn't meet the requirements. They aren't required for your kayak, and if used would possibly result in a citation for unapproved lighting, regardless.
I did a BUNCH of research on lighting, once I decided I wanted to light my kayak, and ended up with just a Scotty stern light. and a head lamp for cockpit illumination. I do plan on swapping out the scotty lamp for something brighter, as I think it might be short on the 2 mile visibility.