Convolution reverbs can do something that algorithmic reverbs cannot, namely recreate an actual physical space (or emulate a classic hardware reverb sound). However, they also have a couple drawbacks: high CPU usage and limited control for sculpting their sound.
I use convolution reverb whenever the reverb itself is going to be prominently featured in the mix. But if the reverb is only there for subtle thickening (as is the case for most tracks), then I prefer an algorithmic reverb.
As for LP-EQ, I'd recommend only using it on the master bus. If there is any way to drag even a 12-core machine to its knees, it'll be throwing linear phase equalizers on each of 40 tracks.
Once upon a time, LP EQs were all the rage - especially back when all EQs were hardware and LP types were rare and expensive. I think the appeal was more about mystique than any concrete benefit. Later, when LP EQs became available as plugins, they were instantly popular. Over time, though, users began to realize that linear-phase was mostly hype and only beneficial in very specific circumstances.
Truth is, digital filters mimic analog filters, and phase shifts are intrinsic to both. We're accustomed to what that sounds like, whether we're talking about the tone knob on your guitar, the crossover control on a subwoofer, or the graphic equalizer in your car's stereo. The audible effect is extremely subtle - unless you're doing extreme and narrow low-frequency boosts. And you shouldn't be doing that anyway on the master bus, which is where most people apply LP EQs.
But do some experiments to satisfy your own curiosity. Duplicate a track (vocal, synth, guitar) and insert a minimum-phase EQ on one and a linear-phase EQ on the other. Use identical settings on both and match levels. Then use exclusive-solo to bounce between them. Ideally, use an EQ such as Fabfilter Pro-Q that supports both modes and have someone else do the soloing while you listen without looking at the screen. IF you can reliably tell the difference, and if one definitely sounds better than the other, then you have your answer (for that particular track, anyway).