Does the iPod Touch 5th Generation have a magnetometer sensor

Camera sensors are not only limited in their resolution, but also in the rate at which the image data can be read off of them.

Just because a sensor can take 5-megapixel still images doesn't mean that all of that data can be read off the sensor fast enough to record (smooth) video. Even reading just a subset of the pixels (called pixel binning) to reduce the amount of data may not be enough to get 1080p images at, say, 30 frames per second.

A web search indicates that the iPhone 4 uses an Omnivision OV5650 sensor. According to Omnivision's own product sheet for that sensor, it's limited to 720p video, so it's not just a software thing. I couldn't find any specifics about the sensor in the new iPod touch, but it's almost certainly a different one if it records 1080p.

Actually you can get the BT Stack needed to connect to pc but only if you jailbreak your iPod Touch 5Th gen. you can do this simply with pangu and iOS 8.x and you just search for BT Stack in Cydia and install that and you should be good to go.