I went through the same mess , mine was also #4 , no pulse from pcm . What caused the problem in the first place was # 4 injector shorted out & fried that injector driver in the PCM . The injector gets power all the time & the signal from the PCM is a ground .
I finally diagnosed & replaced # 4 injector & ordered a plug & play PCM off ebay . Received the PCM & still had no signal for # 4 . I had already determined the wire between the PCM & injector was good . The PCM I bought was warranted so I returned it & they sent me another one . All has been fine since .
I have read that at least 50% of PCM's that are sent in to be replaced are good & the problem was a misdiagnosis . I am convinced that some of those places that sell PCM's pick them up at salvage yards or have them sent in & all they do is program them for your vehicle & send them to you without real testing & hope for the best .
All that being said , I have no idea where you bought yours but it should be warranted & if you have power to one side of the injector & the wire between the injector & the PCM is good & the injector is good , you may have gotten a bum PCM like I did .
My problem was an injector problem but you may be having the same type problem with the coil .