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Outdoors meaning on your data not wifi, correct?
Could be you don't have the correct Data settings (can't recall the actual term) - but if you phone Vodafone and ask them to resend their MMS and Data settings to your phone, that could fix them. Sound slike the phone doesn't have ther ight set up - works fine on wifi as it isn't using your carrier's data connection.
Settings > more > internet settings > accept
also disable your antivirus or taskiller, if any
Do you have stamina mode on?
Follow my above suggestions, re-download the apn settings, uninstall any antivirus and/or taskiller
Do you have any antivirus app such as AVG, or norton or anything like that ?
How old is your SIM card? is it a micro SIM card or did you trimmed a regular SIM card?