The only time we had a RE do something like this, it was a clogged injector. Started out like yours then got worse in time. You may add some known quality injector cleaner to see if symptoms change. Doubtful it will fix it, but if it changes, well there you go. We replaced the injector under US warranty.
Duc Sco is correct, on the battery. Check static volts, and what it drops to with key on, then when cranking. After startup, it should recover within a minute or so.