Apart from being entirely metagame thinking here are a few of the problems that these particular dump stats would give you:
- The inability to lift anything more than 15kg (33lbs) without a check
- The inability to carry more than 10kg (22lbs) of gear on your person. Without a check, or taking penalties.
- Low dice pools and limits for any STR action
- Being a complete simpleton of potato proportion.
- Low dice pools and limits for any LOG action including several skills important to mages, such as Sorcery, and knowledge skills.
- Low dice pools on remembering or reasoning attribute only checks.
So not only will you be unable to pull a teammate out of a firefight, you'd barely be able to carry your gun and armor. With your low mental stat, you would be less capable of understanding any magical effect or spirit, denying your team valuable intelligence in your specialization. You would even start with less Knowledge or language skills at character creation. Also as dm, I'd probably make you roll for dumb. Often.
Bear in mind I haven't seen the 5E rulebook, so I'm working with nothing but 4E knowledge, previews, forum posts, and sheer guesswork. I wouldn't be at all shocked to learn I got some things wrong. Your post raises some questions:
1) Gear has actual weight now? In SR4 armor simply required BOD to wear and just about everything else was hand-waved. I'm pretty excited if 5E actually lists gear weights. That said, what gear are you imagining the character needs? He basically needs a smartgun, bullets, and armor - unless the rules for magical gear are wildly different and substantially more detailed, all of his foci, binding materials, etc can be declared to be something conveniently lightweight, such as aluminum body piercings. His armor weight is already covered by the basic rules on how much armor you can wear for your STR (so yes, he won't be walking around with a +3 helmet).
2) Sorcery is LOG based, not MAG based, now? That fundamentally changes everything, and no mistake. I'll have to take a closer look, but if you cast off of LOG now, the design spec is indeed too challenging to fulfil, and Shamans are kind of terrible since they don't have the same stat in casting and resisting drain.
Also, some answers for you:
1) Of course he can pull someone out of a firefight, unless they've gotten rid of the appropriate spell. I may be misremembering the name, but Lift (or something similar) could shift at least a hundred kilograms per point of Force.
2) Language skills are largely a waste of time - there are too many languages around to learn them all, and it's too easy to use linguasofts instead. A dedicated Face can squeeze out more points (and yes, linguasofts have downsides), but the design spec was for a hybrid, so some compromises had to be made. The character is fluent in his primary language and rank 5 in two more if he needs to be, and if three languages isn't practically enough, more Logic won't solve the problem.
3) Knowledge skills are, quite simply, someone else's department, most likely the party's computer expert, since, just like in the real world, it's far more practical to know how to look stuff up than it is to try and know everything at once. This isn't a character with Astral Perception, so anything he can see he can show to the party.
I don't know what "rolling for dumb" is, but remember that the character is Intuition 5, which is reasonably wise, and also remember than Logic 1 isn't *that* dumb (I would start arguing with a GM who thought my character was any dumber than Forrest Gump). It would be 100% reasonable to have the character fail to understand a menu in a restaurant, but 100% unreasonable to claim that he doesn't understand why it's a bad idea to run naked into busy traffic.