To begin with, All LEDs need resistors, period.
Some configurations will work with one resistor for multiple LEDs,
but generally each LED should have its own resistor.
Each different type of LED needs to be operated within its design limits.
They aren't all the same.
A constant current supply, of course, limits the current as a resistor would.
0.35 A is, in relative terms, Very Little current.
For example, the starter in a car typically draws between 100 and 300 amps.
There are online sources for help with connecting LEDs correctly.