Cryptic crossword No 3,968

Across

1. Travelling by rail to National Trust house's opening of maze (9)
2. Dish gent sent back with excessive finishing touch of oregano (7)
3. Which church gets straw roof? (6)
4. Hearing spirits coming from Catholic house, dogs retreat (13)
5. Drive topless casually? (3,3)
6. Religious sect breaking record with electronic tablet (7)
7. Section of musical composition (5)
8. Royal dog needs treatment! Bring in Institute for Medical Science (9)
9. Booze avoided by Burnham; none picked up or delivered (7)
10. Reach commercial success (7)
11. Member trapped in hatchback? Some may call it fate (5)
12. Students going over strange clue's premise (7)
13. Love shaky but not very troublesome (7)

Down

1. Data centres of Anthropic anonymously develop virus reveals whistleblower (8)
2. Pilfered sweet bread, cutting slice of loaf (6)
3. America's got behind a Trump leaker (4)
4. Remote software installed in almost nothing (6)
5. Multiple award winner such as, firstly, Olivia Thirlby (4)
6. Excursion to historic city (4)
7. Appalled as a little ratbag has truanted (6)
8. Scottish town's shop never closes? I doubt it (9)
9. Sand that is a drink (8)
10. Can't hide here; spinning rest-measuring device in use (10)
11. Fruit cored, around a thousand, for pie shop (6)
12. Doctor reflecting on principle of ethics convention (4)
13. Just the thing for hacking, chesty spasms (6)
14. Advocate supporting second troop leader (10)
15. Uh, dad? Rocking 'n' rolling with Tool shows middle age, maybe (9)
16. Mounting impasse certainly, in some measure, leading to hiatus (6)