We use many different fuse brands in our company, so "J&P" may be one, but it's not a slang term that I've heard for a fuse. More modern substations don't use fuses, but instead have PCBs (Power Circuit Breakers), circuit switchers, and transrupters. They can operate without having to be replaced like a fuse would be.
As far as Delta and Wye ( I'm assuming that's what you meant by star) connected transformers, there are many different reasons for using one or the other...and there is probably a thread on here where someone more qualified than me can explain the exact reasons why you choose one or the other.
As far as the neutral goes, our distribution transformers are Delta high side and Wye-grounded low side. The neutral (common of the 3 windings) of the Wye is connected to the copper ground field buried underneath the substation. The effect of this is that if there is a fault on the distribution line (say a tree falls on the line), the current from the line will flow through the tree and return to the source (complete the circuit). This path is through the ground back to the grounded neutral of the transformer.
Because of this current flowing up the neutral of the transformer, there has to be an equal current flowing on the high side to match it. Because of a property of delta connections, this current is "trapped" inside the delta and simply circulates without traveling back onto the transmission line that feeds the substation. The official term is that a delta will trap zero sequence current, which is what the current flowing up the neutral is. You can get a better understanding of that by studying sequence networks.
Hope that helps a little!