Hi, just to add, as a student with tight budget, just continue to stick to yr pl lighting. Just ensure the tubes used are for marine purpose. There are high output vs low output lightset and tubes. T5 high output tube may not come in many length, in general it comes in 24w(2ft), 39w(3ft), 54w(4ft) and 80w(5ft). The corals u mentioned do need lighting but don't mean they need T5 to survive. However, with higher intensity light, they will flourish and looks nicer as polyps are generally bigger. For sun coral, they don't need light but feeding . If exposed and yr tank has nutrient, algae will grow on them and they will not do well.
For chiller, consider the flow. The space constraint will affect the pump u use as it will determine efficiency of the chiller.,Artica is recommended due to it's proven reliability but price on the high side. Hence, u can consider hailea, etc from china. Cheap and works for many reefers out there. Just google for review as they usually have thermostat problem which reefers used external one to overcome.
For rocks, just culture them if u have the time if not, u need to spend money to buy bacteria to speed up the process. Hope this help. Be patience as even snr reefers might overlook at times.