Missing and backfiring at 3k does not seem like it would be a dirty injector or a dirty air filter. You said the plugs are new, did the problem start when the new plugs were installed, or maybe shortly after? Plugs could be the problem. Maybe spark plug wires are crossed? Maybe a bad spark plug wire? It could be a lot of things. I would pull the plugs, check the gap on all, and make sure none of them look bad, and make sure none of them look like that cylinder was running lean. Then when you put them back in, make sure all the wires are in the correct place, and that all of the wires are in good shape. Doing this is free so it can't hurt. Do this, if it doesn't fix the problem, then look elsewhere. That is what I would do.
1990 Maroon Grand Prix STE McLaren 3.1 Intercooled Turbo, 14.695 @ 94.49 on 12psi before cam/heads/etc.
1990 Bright Red Grand Prix McLaren 3.1 Intercooled Turbo, 14.819 @ 92.72, 189whp
1999 Grand Prix GT 9.75:1|K&N|160 tstat|No Ubend/Cat/Res|UD Pulleys|Ported M90/TB/Heads|XPZ|2.55"|Pacesetters|Stage 2 I/C. 12.442 @ 112.78
2000 Blue Bonneville SSEi Supercharged Gutted Airbox|K&N|3.4"|1.9'*|WP Pulley|Custom DHP|180*stat|41932'*|No Cat. 14.681 @ 94.80
2002 Dark Cherry Grand Prix GTP Supercharged & Intercooled
12.084 @ 114.38 w/1.743 60', 315.6whp, Fastest Stock Cam M90 GTP!
NOW XP CAMMED, 340.6whp with XP, stock heads, Gen 3 M90, 11.984 @ 115.84 w/1.750 60'!
Most HP Stock Heads Gen 3 M90 GTP!
2004 Red Monte SS Supercharged K&N|3.4 Pulley|1.9'*|180*stat|41919 plugs|3" dp|No cat/ubend|DHP|Shift Kit. 14.2 @ 98
GOT BOOST??? Friends dont let friends drive stock!