Would Apple still be willing to replace my iPhone 5?

Hi,

I purchased an iPhone 5 back in February from an Apple store. Worked absolutely fine until now, where some software issue are appearing; The battery drains ridiculously fast even when features are disabled (i.e. location services, 3G when not needed), and also the home button some time has a lag when exiting apps.

This has been bothering me now, but there is a slight blemish on the phone near the earphone jack... would Apple dismiss a replacement and ask for a charge, even though it's 3 months old?

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