Er yes and no....
The e-sata port is useful if you have an external disk drive that has an esata port. However, if you have usb 3.0 you'll unlikely see a huge step up in terms of performance. e-sata is essentially a direct link to the motherboard and stands for external sata. Sata being the interface that your disk drives inside your computer use.
FireWire again is another interface, but has more functionality. Until the advent of usb 3.0 or thunderbolt ports it was fairly quick (800 mbps) but crucially you can daisy chain devices and devices are hot swappable.
In geeky terms, FireWire is really cool imo, I think the introduction of affordable hdd's and large removable memory from external devices rendered FireWire obsolete, shame really as it's fantastic tech imo.