Is that plywood you’re trying to joint?
It’s all good advice so far. I admit that I have a 6” Delta jointer that I just love. I’ll also admit that I am a hand tool maven and the speed and efficiency of the hand planing suggestion often is true, depending on the size and quantities you need to joint. In your case, if you have a sharp and quality hand plane, then that’s the way to go with that dinky stick you’re working on.
About the router table: I have a 1617 and it’sa great router that easily handles 1/2” bits, so put that 1/4” bit aside and use a 3/4” diameter x 3” 1/2” bit, because it is a massively stiffer bit. It’s simply a much better bit than a 1/4” shafted bit. Generally speaking, that router easily handles the larger bits and I find that I get better results from the beefier bits, so that is what I mainly buy, unless there is a specific reason for me to use a 1/4” bit.
Someone briefly mentioned it, but the router jointing almost requires a feather board just past the cutter, and I would be inclined to use a hold-down too.
Lastly, and this is especially true if the shaft is 1/4”, you cannot take 1/4” passes and get a decent result with the router table, you’ll have to take 1/16” or less. I’ve not tried what you’re attempting, but I suspect 1/32” is a better number.