[RPG] Can you Channel Energy while Grappled

Necromancy is not inherently evil

Necromancy spells are only characterized by their use of negative energy; negative energy is entropic in nature but is not a moral force. The inflict line of spells, for example, aren't evil.

But...

Necromancy does have some evil spells. Thankfully, they'll helpfully be labeled [Evil] in the spell descriptions!

Spells associated with particular alignments are indicated by the chaotic, evil, good, and lawful descriptors in their spell descriptions.

Per the Cleric class description, the Cleric cannot use spells with an alignment component opposed to their own; Good Clerics can't use [Evil] spells, Evil Clerics can't use [Good] ones. When in doubt, just check the spell's description!

Further, Channel Energy does not affect non-spontaneous spellcasting. While Channel Energy determines what spells a Cleric may cast without preparing, it doesn't affect spells that the Cleric memorizes ahead of time and does not otherwise restrict their casting list, though their alignment may do so (see above).

Yes, you can five foot step while entangled as long as being entangled does not reduce your speed to 5. While entangled, your movement is not hampered by difficult terrain or darkness. I'd say that the condition specifically mentioning running and charging but not mentioning the five foot step is further evidence that you can still do it. Indeed, were running and charging not mentioned, I would argue that they are allowed as well (at half speed of course).