Had the XC90 for a week - issues so far

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Hi everyone. I bought my 2013 D5 52000 miles XC90 2 weeks ago from Volvo under their Selekt programme.

I am loving the car so far but noticed a few things that I want want checking out, so have booked it in with the dealer. I'm after a bit of advice about possible causes of the issues, potential fix and if they would be covered by the warranty. .

Handbrake - on a slight incline the foot operated parking brake needs to be clicked about 5-6 times to hold the car. On a steep hill it doesn't hold when pressed all the way in.

Gearbox - When selecting D the car Judders in to gear. Only noticed after 30-40 min driving. It does not do it when cold or after shorter drives. Does similar for reverse but not as harsh. All gear changes whilst driving are smooth although I did notice the revs increase for a split second whilst changing form 4th to 5th. This was whilst hot. Only noticed it once. Volvo have said they will do the adaptions the resolve these issues.

Going down hill - the car seems to go in to Neutral when going down hils. My V60 did this but if you braked, it would then hold gear so engine breaking could be used. The Xc90 doesn't seem to go in gear until you get to the bottom of the hill and accelerate away. Is this normal?

I have seen similar questions on here and answers that could cover it, but really wanted to know if any of them are related, if I should get anything else checked by Volvo and if the selekt warranty would cover it.

And replied to these question would be much appreciated.