It's not a straightforward yes or no. Different DC Comics story arcs might present Robin in various ways regarding sexuality. Sometimes it's left ambiguous to allow for different reader interpretations.
In many Batman and Robin fanfictions where Robin is injured, it often leads to Batman becoming more determined to catch the villain. For example, in some stories, Robin gets injured during a fight with a new, powerful enemy in Gotham. Batman then uses his detective skills to track down the bad guy while also taking care of Robin. He might call in Alfred for help with Robin's injuries. This kind of situation shows the deep bond between Batman and Robin and how they rely on each other in tough times.
The Penguin could be a great addition. His wacky and devious schemes always make for an interesting story. Also, Catwoman. Her complex relationship with Batman adds a layer of intrigue. And Oracle, who can provide valuable information and support from afar.
One interesting storyline could be Robin growing up and struggling to step out of Batman's shadow. He wants to prove himself as an independent hero while still respecting Batman's teachings.
The age of Robin in DC Comics isn't fixed. Different story arcs and reboots present him at different ages. Generally, though, he's often shown as a young adult or a teenager in his mid to late teens.
Sure is! Batman has been a staple of DC Comics for a long time. His stories and adventures are part of the DC universe. DC has built a rich and complex world around him.