The actual name for the connector is "modular connector". Yes, the name sucks, using generic adjective isn't a good idea for naming things, but just FYI to help search. Further piece of the name is 8p8c, or 6p4c, or 6p2c, depending on how many contacts the plastic housing has, and how many are actually populated with the contacts.
Now <0.5A definitely isn't a problem of heating too much, so the connectors easily handle it, but seeing you use 5V, the question is how much voltage drop you can accept? For this, you need the sum of connector and wire resistance. If the wiring is long and you use off-the-shelf cabling designed for communication not power transfer, make sure your devices receive enough voltage - during peak consumption as well - capacitors are good to only less than a millisecond!