I did go through a period with my '03 Dak with 60+k miles (at the time) when it would intermittently shut down.
No CEL.
But how it differed from yours was:
sometimes it didn't want to start back up (& fortunately for me these episodes happened in my driveway)
and
intermittent devolved to terminal, &, unlike yours, this took way less than a year.
The troubleshooting sequence that I followed pointed at the PCM so I did send it to a facility that diagnosed it & repaired it.
As I see it, the biggest obstacle to troubleshooting yours is the fact that yours is still intermittent, & I have always found it hard to fix something when it's not acting like it's broke.
As far as the crank position sensor (ckp), that was one of the parts I threw at mine in the intermittent stage.
I also threw a cam position sensor (cmp) at mine when it was intermittent.
When it became terminal I worked on the assumption that both the cmp & ckp I had installed were good parts, so I bypassed the troubleshooting step that called for checking both.
(I would also think that if the shutdowns were related to either the ckp or cmp that you would get a CEL with a specific code pointing to either.)
I am not sure how the input speed sensor on the transmission would cause your intermittent shut down (I can see the ABS & BRAKE light due to that), but I don't claim to be an expert on the subject, so maybe I've missed something on that.
If you don't mind the shotgun method, I would start with (in this order)
the ASD (aka ENG) relay because voltage for the coils & injectors goes through that relay (although I don't know if relays often fail intermittently)
and then the CKP & CMP as the PCM needs a good signal from both to send a trigger signal to the coils and, I believe, to energize the fuel pump relay, & if I am understanding it correctly if the PCM doesn't get those signals it will also de-energize the ASD relay. (& I suppose, on that note, you could throw a new fuel pump relay at it, although what I typed about relays failing intermittently).
Good luck with this.
No CEL.
But how it differed from yours was:
sometimes it didn't want to start back up (& fortunately for me these episodes happened in my driveway)
and
intermittent devolved to terminal, &, unlike yours, this took way less than a year.
The troubleshooting sequence that I followed pointed at the PCM so I did send it to a facility that diagnosed it & repaired it.
As I see it, the biggest obstacle to troubleshooting yours is the fact that yours is still intermittent, & I have always found it hard to fix something when it's not acting like it's broke.
As far as the crank position sensor (ckp), that was one of the parts I threw at mine in the intermittent stage.
I also threw a cam position sensor (cmp) at mine when it was intermittent.
When it became terminal I worked on the assumption that both the cmp & ckp I had installed were good parts, so I bypassed the troubleshooting step that called for checking both.
(I would also think that if the shutdowns were related to either the ckp or cmp that you would get a CEL with a specific code pointing to either.)
I am not sure how the input speed sensor on the transmission would cause your intermittent shut down (I can see the ABS & BRAKE light due to that), but I don't claim to be an expert on the subject, so maybe I've missed something on that.
If you don't mind the shotgun method, I would start with (in this order)
the ASD (aka ENG) relay because voltage for the coils & injectors goes through that relay (although I don't know if relays often fail intermittently)
and then the CKP & CMP as the PCM needs a good signal from both to send a trigger signal to the coils and, I believe, to energize the fuel pump relay, & if I am understanding it correctly if the PCM doesn't get those signals it will also de-energize the ASD relay. (& I suppose, on that note, you could throw a new fuel pump relay at it, although what I typed about relays failing intermittently).
Good luck with this.