I was watching this YouTube video by Crimebodge. At 10:10 he explains that the police only have powers of entry to arrest somebody for indictable offences (like rape), and not for summary offences (like harassment). I understand there are other scenarios when they can enter, for example if they are pursuing someone that just ran into a house.
Question #1: If someone makes a complaint to the police about an indictable offence, such as rape, and another person makes a complaint to the police about a summary offence, such as harassment, would the police then need a warrant to enter the house and arrest the person?
Question #2: What would happen if it was an either way offence (one that could be tried in a Magistrates' Court or a Crown Court) - would it perhaps depends upon the seriousness as to whether police could use their powers of entry?
Question #3: If it is an indictable offence, is it enough for an alleged victim to go to a police station and put in a complaint so the police can enter your house without a warrant to arrest you, or must the police officer have seen it happen otherwise it requires a warrant?
These questions are just for England and Wales.