Step 4) delete
first find name if exist on the list, if true, get the index number....and then delete using index number
list.remove(index)....or list.remove("Pedro")
step 5) insert
again, you can insert using an index number....
list.add(5, "George")....insert at index 5 ang pangalan na "George"
step 6) display
madali lang yan.. gamit ka lang ng FOR loop
step 7) search
gamit ka ng list.contains("Pedro").... results to boolean true or false
....Read Java Collection framework.... o kaya paste mo dito ginawa mo para ma-correct natin.